Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 11 No 1 (2019): JMP Edisi Juni 2019

KARAKTERISTIK SEGITIGA LUCAS

Nurshiami, Siti Rahmah (Unknown)
Wardayani, Ari (Unknown)
Setiani, Kana Hasmi (Unknown)



Article Info

Publish Date
28 Jun 2019

Abstract

Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2,  the sum of the first n terms of number of 1th column is equal to the number at th row, 2nd column. Besides, the number at nth row and  th column of Lucas triangle is  for , the sum of the first n terms of number of jth column is equal to the number at th row,  column for . The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at  th row,  and the number at th row, . Then, the sum of coefficients of each  row of Lucas triangle is .

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Journal Info

Abbrev

jmp

Publisher

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...